Vector force conceptual exercise help.

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SUMMARY

The discussion centers on a physics problem involving a train traveling up a 3.73-degree incline at a speed of 3.25 m/s. The key calculations involve determining the time it takes for the last car to come to rest and the distance it travels before stopping. The solution approach includes using gravitational force components, specifically calculating g*sin(3.73) to find the force acting on the car. The focus is on vector quantities and the nature of forces acting on the car after it breaks free from the train.

PREREQUISITES
  • Understanding of vector quantities in physics
  • Knowledge of gravitational force calculations
  • Familiarity with kinematics equations
  • Basic principles of motion on an incline
NEXT STEPS
  • Study the derivation of kinematic equations for motion on an incline
  • Learn about the components of gravitational force on slopes
  • Explore the concept of frictionless motion in physics
  • Investigate the application of vector decomposition in real-world scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and motion, as well as educators looking for examples of incline problems in kinematics.

jwang023
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Homework Statement



This was a problem I needed help on.
A train is traveling up a 3.73 degree incline at a speed of 3.25 m/s when the last car breaks free and begins to coast without friction.
a). how long does it take for the last car to come to rest momentarily?
b). how far did the last car travel before momentarily coming to rest?

Homework Equations



I'm thinking I use some vector quantities/nature of forces?

The Attempt at a Solution

 
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g*sin(3.73) to find the force of gravity. find the y vector of the speed and ignore the x vector for now.
 
Thanks. Got it
 

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